Kolmogorov-Sinaj entropy on MV-algebras

被引：19

作者：

Riecan, B ^{[1
]}

机构：

[1] M Bel Univ, Bratislava 81473, Slovakia

来源：

INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS | 2005年 / 44卷 / 07期

关键词：

dynamical systems;

D O I：

10.1007/s10773-005-7080-9

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

There is given a construction of the entropy of a dynamical system on arbitrary MV-algebra M. If M is the MV-algebra of characteristic functions of a sigma-algebra (isomorphic to the sigma-algebra), then the construction leads to the Kolmogorov-Sinaj entropy. If M is the MV-algebra (tribe) of fuzzy sets, then the construction coincides with the Malicky modification of the Kolmogorov-Sinaj entropy for fuzzy sets (Malicky and Riecan, 1986; Riecan and Mundici, 2002; Riecan and Neubrunn, 1997).

引用

页码：1041 / 1052

页数：12

共 15 条

[1]

[Anonymous], 1986, MATH SURVEYS MONOGR

[2]

Butnariu D., 1993, Triangular Norm-Based Measures and Games with Fuzzy Coalitions

[3] Loomis-Sikorski theorem for σ-complete MV-algebras and l-groups [J].